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Simplifying 4z + 2 = 8 + -1(3z + -2) Reorder the terms: 2 + 4z = 8 + -1(3z + -2) Reorder the terms: 2 + 4z = 8 + -1(-2 + 3z) 2 + 4z = 8 + (-2 * -1 + 3z * -1) 2 + 4z = 8 + (2 + -3z) Combine like terms: 8 + 2 = 10 2 + 4z = 10 + -3z Solving 2 + 4z = 10 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 2 + 4z + 3z = 10 + -3z + 3z Combine like terms: 4z + 3z = 7z 2 + 7z = 10 + -3z + 3z Combine like terms: -3z + 3z = 0 2 + 7z = 10 + 0 2 + 7z = 10 Add '-2' to each side of the equation. 2 + -2 + 7z = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 7z = 10 + -2 7z = 10 + -2 Combine like terms: 10 + -2 = 8 7z = 8 Divide each side by '7'. z = 1.142857143 Simplifying z = 1.142857143
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